Brownian Motion and Thermophoresis Effects on MHD Mixed Convective Thin Film Second-Grade Nanofluid Flow with Hall Effect and Heat Transfer Past a Stretching Sheet

The effects of Brownian motion and thermophoresis on a magnetohydrodynamic thin film second-grade nanofluid flow with Hall current and heat transfer past a stretching sheet are investigated. The Hall current yields the various effects associated with the flow of electric current through thin film, studying two dimensions medium in three dimensions space. The Brownian motion enables direct solid-solid transport of heat from one particle to another, resulting in an increase in thermal conductivity. The fluid flow, heat transfer and concentration are controlled by the mixed convection. The scope of the problem has been limited to three dimensional due to Hall effect and is deeply affected by the novel properties of nanofluid, fluid film thickness, Hall effect, Brownian motion and thermophoresis. The basic governing equations for the velocities, temperature and concentration of the thin film second grade nanofluid have been modeled by employing appropriate similarity transformations which result in high nonlinear coupled differential equations with physical conditions. The transformed equations have been solved by employing HAM (Homotopy Analysis Method) which lead to detailed expressions for the velocities, temperature and concentration components. The salient features and effects of all the embedded parameters on velocities, temperature and concentration fields have been displayed graphically and illustrated.